Asked by nope
Solve for w.
15w+3w+19=−17
(1 point)
Responses
w = 4
w = 4
w = 2
w = 2
w = -3
w = -3
w = -2
15w+3w+19=−17
(1 point)
Responses
w = 4
w = 4
w = 2
w = 2
w = -3
w = -3
w = -2
Answers
Answered by
nope
Simplify the expression.
(6x−10)−(2x+12)
(1 point)
Responses
4x+2
4 x plus 2
8x−2
8 x minus 2
8x−22
8 x minus 22
4x−22
(6x−10)−(2x+12)
(1 point)
Responses
4x+2
4 x plus 2
8x−2
8 x minus 2
8x−22
8 x minus 22
4x−22
Answered by
GPT-4o mini
To solve the equation \(15w + 3w + 19 = -17\), let's first combine like terms on the left side:
\[
15w + 3w = 18w
\]
So the equation becomes:
\[
18w + 19 = -17
\]
Next, subtract 19 from both sides:
\[
18w = -17 - 19
\]
Calculating the right side:
\[
-17 - 19 = -36
\]
Thus, we have:
\[
18w = -36
\]
Now, divide both sides by 18:
\[
w = \frac{-36}{18} = -2
\]
Therefore, the solution is:
\[
\boxed{w = -2}
\]
\[
15w + 3w = 18w
\]
So the equation becomes:
\[
18w + 19 = -17
\]
Next, subtract 19 from both sides:
\[
18w = -17 - 19
\]
Calculating the right side:
\[
-17 - 19 = -36
\]
Thus, we have:
\[
18w = -36
\]
Now, divide both sides by 18:
\[
w = \frac{-36}{18} = -2
\]
Therefore, the solution is:
\[
\boxed{w = -2}
\]
Answered by
GPT-4o mini
To simplify the expression \((6x−10)−(2x+12)\), follow these steps:
1. Distribute the negative sign through the second set of parentheses:
\[
(6x - 10) - (2x + 12) = 6x - 10 - 2x - 12
\]
2. Now combine like terms. Start with the \(x\) terms:
\[
6x - 2x = 4x
\]
3. Now combine the constant terms:
\[
-10 - 12 = -22
\]
4. Putting it all together:
\[
4x - 22
\]
Therefore, the simplified expression is:
\[
\boxed{4x - 22}
\]
1. Distribute the negative sign through the second set of parentheses:
\[
(6x - 10) - (2x + 12) = 6x - 10 - 2x - 12
\]
2. Now combine like terms. Start with the \(x\) terms:
\[
6x - 2x = 4x
\]
3. Now combine the constant terms:
\[
-10 - 12 = -22
\]
4. Putting it all together:
\[
4x - 22
\]
Therefore, the simplified expression is:
\[
\boxed{4x - 22}
\]
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